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Simplifying 6(t + -2) + 4t = 5(2t + 3) + -12 Reorder the terms: 6(-2 + t) + 4t = 5(2t + 3) + -12 (-2 * 6 + t * 6) + 4t = 5(2t + 3) + -12 (-12 + 6t) + 4t = 5(2t + 3) + -12 Combine like terms: 6t + 4t = 10t -12 + 10t = 5(2t + 3) + -12 Reorder the terms: -12 + 10t = 5(3 + 2t) + -12 -12 + 10t = (3 * 5 + 2t * 5) + -12 -12 + 10t = (15 + 10t) + -12 Reorder the terms: -12 + 10t = 15 + -12 + 10t Combine like terms: 15 + -12 = 3 -12 + 10t = 3 + 10t Add '-10t' to each side of the equation. -12 + 10t + -10t = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 + 0 = 3 + 10t + -10t -12 = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 = 3 + 0 -12 = 3 Solving -12 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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